Geometry

Question Analysis  

Determine if trigonometric identities are confirmed by a 45-45-90 triangle in Quadrant I.  

Key Concept Explanation  

Pythagorean Identity: For any angle θ,  (derived from the Pythagorean theorem in a right triangle).  

Tangent Definition:  (ratio of opposite to adjacent sides in a right triangle).  

Step-by-Step Solution  

1. In a 45-45-90 triangle (unit circle):  

Legs (x, y) = , hypotenuse = 1.  

2. Check A:

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